Algebras of bounded holomorphic functions

Algebras of bounded holomorphic functions

Some problems concerning the algebra of bounded holomorphic functions from bounded domains in Cn are solved. A bounded domain of holomorphy Q in C2 with nonschlicht i7°°- envelope of holomorphy is constructed and it is shown that there is a point in Q for which Gleason’s Problem for H°°(Q) cannot be...

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Bibliographic Details
Main Author: Fällström, Anders
Format: Doctoral Thesis
Language:English
Published: Umeå universitet, Institutionen för matematik, teknik och naturvetenskap 1994
Subjects:
holomorphic function
bounded holomorphic function
domain of holomorphy
envelope of holomorphy
Gleason’s problem
convex set
uniform algebra
spectrum
fibers
generalized Shilov boundary
analytic structure
plurisubharmonic function
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-114744
http://nbn-resolving.de/urn:isbn:91-7174-856-3

Internet

http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-114744
http://nbn-resolving.de/urn:isbn:91-7174-856-3

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